Note that
108° = 90° + 18°
so
sin(108°) = sin(90° + 18°) = sin(90°) cos(18°) + cos(90°) sin(18°) = cos(18°)
Then
sin²(108°) + sin²(18°) = cos²(18°) + sin²(18°) = 1
by the Pythagorean identity.
Answer:
Step-by-step explanation:
For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.
According to the Altitude Rule, given a Right triangle, if you draw an altitude from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.
In this case, you can identify that the altitude that goes from the vertex of the right angle () to the hypotenuse of the triangle, is:
Then, based on the Altitude Rule, you can set up the following proportion:
According to the Leg Rule, each leg is the mean proportional between the hypotenuse and the portion of the hypotenuse that is located directly below that leg of the triangle.
Knowing this, you can set up the following proportions:
Answer:
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To find y, we make use of the relationship between sides lengths 11 & x and angle 37
The relationship is:
i.e.
Make x the subject
-- approximated
Answer:
The answer should be "B" (The area of △RST is equal to the area of △LMN.)
Answer:180-124= answer
Step-by-step explanation:I don’t have a caclator srry